
Summary: We obtain new integral representations for an axially symmetric potential and the Stokes flow function in an arbitrary simple-connected domain of the meridian plane. For domains with Jordan closed rectifiable boundary, we investigate boundary properties of these integral representations. For Part II, see the review Zbl 0991.31003 below.
Monogenic and polygenic functions of one complex variable, axisymmetric potential, integral representations, axially symmetric potential, Integral representations, integral operators, integral equations methods in two dimensions, Free-surface potential flows for incompressible inviscid fluids, Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions, Stokes flow, integral representation, Stokes and related (Oseen, etc.) flows, Jordan boundary
Monogenic and polygenic functions of one complex variable, axisymmetric potential, integral representations, axially symmetric potential, Integral representations, integral operators, integral equations methods in two dimensions, Free-surface potential flows for incompressible inviscid fluids, Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions, Stokes flow, integral representation, Stokes and related (Oseen, etc.) flows, Jordan boundary
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